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Fundamentals of Hierarchical Scaled Description
in Physics and Technologies

Through the last ~(50-60) years despite the numerous singular innovative scientific and technological moves, we can observe the 2 contradictive streams in advancements in science and technologies. One trend is in the real continuous progressive movements in Science and technologies. Still another tendency is that all these advancements are based on the same knowledge, inventions and science that were already known to humanity up to the WWII. Still it should be otherwise as it was in XIX, beginning of XX.

Strange notice on the progress one might say.

The main reason for this as many scientists came to the idea is that something wrong is going on regarding the foundations of our civilization's science. Nothing really new came out of labs after the WWII that might be compared to electron or nucleus discovery, or DNA, for example.

In general conventional physics for more than 50 years the extremely expensive experiments in particle, nuclear and high energy physics gave only more of new "intermediate" results. Results of vague misleading statistical interpretation. Not anything of extra class. Only the anti-gravitation platform of Grebennikov is coming to mind as the comparable discovery in significance. And it cost really nothing in terms of government support.

A few (many) fields, laws are considered as untouchables? Meanwhile, history gave us bad consequences of this congealed state as in astronomy, Aristoteles mechanics, etc. Some scientists suggested to start the really new physics as the 2nd Physics in hope that with the new name will come and a new unrestricted (as now is) progress in physics and technologies. We support this objective and try to expose in the sciences and technologies here in this website the new physics and new mathematics that correspond to the challenge.

Here, at this and other websites dedicated to Hierarchical, Scaled (HS), Local - Nonlocal description concepts, HS physics, biology, mathematics, other HS sciences and HS technologies the term "medium" (material) has been applied to almost everything that surrenders to mathematical depiction, not only to the meaning of materials science.

A major problem in many fields (sciences, technologies) is the creation (or studying) of a new medium (material) that has the most desirable characteristics or with specified properties. The medium (material) physically natural should bare the features of Heterogeneity, Scalability, or features of being in any case of two or more than two Hierarchical scale - which is the imperative attribute of any physical matter. Water, any liquid or solid state is, at least, of molecular and continuum constitution scales can be deemed, any other medium, not mentioning really composite nature or multiphase media.

This problem is presently treated by procedures that are primarily heuristic in nature because commonly used methods, theories having insufficient means for describing the material with the precision and detail needed to treat all the important features in a meaningful way. The most challenging goal is to describe a material with physical models that incorporate each level of the material spatial hierarchy from subatomic, less then Angstrom, scale to at least 3 or 4 orders of magnitude greater and to describe how the models at the various scales of the hierarchy interface in a consistent rigorous way that is verifiable by measurement. This task is of enormous difficulty and, as a result, even the approach is in dispute.

As it is well known to technically savvy engineers and scientists the only way which used to derive the basic governing equations (models) in each and every physical discipline is via application of the Gauss- Ostrogradsky theorem and like modifications. Even a particle physics, it is useful to stress out here that has been many decades the field where XVIII century discrete point-mass methods have been used almost exclusively as major explanatory tools, found itself as the HSP-VAT submitted to. This theorem communicates physical properties of a medium's volume to its surficial values. The theorem had served well for more than hundred fifty years for formulating the physics as we know it. To our interest, the thing is that this theorem is good for Homogeneous one scale medium properties merely.

Meanwhile, near 50 years ago in 1967 the first publications containing the truthful Heterogeneous media Gauss-Ostrogradsky theorem, which we call the WSAM theorem (by Whitaker, Slattery, Anderson, and Marle) opened the only correct path to formulating the governing equations for physical problems in scaled and heterogeneous media.

Also, we would like to state again and again that the Homogeneous subject physics is just the genuine constituent part of the broader business of the Heterogeneous, scaled, hierarchical description of a matter. And there is no contradiction in this statement.

All the physics that has been and is used for the Homogeneous matter - on this or that particular scale, is the conventional physics as known to most of physicists, and as such continues to be the means for Homogeneous subjects only. Meanwhile, as soon as we have more than the one scale physical matter challenge that is the first indication the Heterogeneous physics tools, including the WSAM kind theorems should be applied. That brings in the new classes of governing equations, models, etc., and inevitably the new Hierarchical Scaled Physics.

Among works in physics and biology attempting to describe the hierarchical nature of most of the scalable subject in these fields we could not find (locate) out the ones that could be the stricter than simply the qualitative nonmathematical description. That means no serious theories to consider for comparison regarding the hierarchical mathematics, physics, and biology narrative. Nevertheless, many methods of "averaging" have been brought up for investigation in various sections of this website, mostly in physics disciplines.

The big problem is the notions pertaining to the smallest scale which surprisingly is always considered as a Homogeneous one? Well, we do not discuss the smallest of all used scales, like ~10^(-50)-10^(-90)[m]. But many of the subatomic and subnuclear scales are addressed. We would like also to say that the connection, interaction between the scales are in need to be assessed precisely and definitely, but for this the conventional contemporary "Homogeneous" physics has failed so far to tackle the issue.

What was said above means, the mathematical and physics consequences from this should become the generally new mathematical and physical formulation and solution of governing equations and models for (at least) two scale problems for Heterogeneous, Hierarchical Scaled Media in Physics, Biology, other sciences, and Technologies.

Unfortunately, there is more to that needs to be changed. As long as the conventional, orthodox Homogeneous physics (COHP) has been trying to tackle everything, including and the Heterogeneous, Scaled media phenomena, then it (COHP) should be corrected on this. Meanwhile, the troubles for COHP have been closing to a catastrophe anyway associated with the insolvency of even Homogeneous electrodynamics as it was developed in XIX-XX centuries. This is the emergency cry, it can't be delayed, despite of political organization and interests of COHP.

This type and proportions of the global change (paradigms shift) in the way of scientific and technical thinking is overwhelming for most of the scientific and high tech (hitherto) communities worldwide. Those who understand the implications first of all think about the personal affairs, career threat.

Abilities of people to learn unfortunately greatly being diminished with age, that is why most of professors who know about this way of doing the scaled, local - nonlocal, hierarchical science and techs - the only correct one so far, are silently seeking their "mattresses" for reaching until their retirement years. But not about teaching students better. And we know many of those. Others are just playing the game of ignorance, as Prof. R.Santilli knows and wrote the most on this game. We should mention with respect the late S.Marinov's effort. Who is interested can find information in the net easily.

For all the sections-sciences and technologies exposed at this website and other affiliated with us websites, the input and advancements were attained through my studies personally and with help of my collaborators and students. That means these websites and information given in them are the things those I have done and authored and can make to getting results in and those are some of my skills also. That is why, most of the information and points of view presented in our websites can not be found anywhere else in the web.

After dissolution with UCLA in 2002 we no more looking for active publishing in hard copy journals (COHP journals), instead we rely mostly on publishing in this and other internet resource along with further interested parties. That is why most of 90s and after 2000 research in all the physics fields presented at this website, including and Thermal Physics and Fluid Mechanics, are published either in the sections-sciences here or other publishing resources or in this website is given some information on the results achieved.

Some other important key issues where a spirit and enlightenment of this physics and math that are given, and that should belong to the front page of this website, we had placed in the Announcements.

Many sections in our websites are restricted for access because not finished, under scientific challenge, or just with a patentable or commercial content. Some of these are huge fields. Any interested researcher, lab, business entity can play a part in these studies, business applications. Several sciences, fields inquire the open mindset and some time for ability to apprehend the education that is far from conventional stature physics. Selected fields are too unexpected without some educational minima.

For many of the fields or sciences presented in this website the first time visitor has usually no clue that this is possible or available in scaled physics. Fortunately, this site and other our sites can serve as a worldwide source for information on the scaled, hierarchical description, modeling and simulation, and experiments in physics first of all, biological sciences, health sciences, other sciences, and technologies.

Fundamentals of Hierarchical Scaled Description
in Physics and Technologies

Travkin, V.S., P.I. & P.D.
Attn: Consulting or Problem
USA, Germany
E-mail: consult@travkin-hspt.com

Copyright 2001...Thursday, 26-Apr-2018 15:29:17 GMT V.S.Travkin, Hierarchical Scaled Physics and Technologies